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201220102000 = 2453360727893
BaseRepresentation
bin1011101101100110100…
…1110001011101110000
3201020101101010021210101
42323121221301131300
511244044321231000
6232234513042144
720352264434461
oct2733151613560
9636341107711
10201220102000
1178378557965
1232bb8256354
1315c8a031318
149a4c164d68
15537a630e6a
hex2ed9a71770

201220102000 has 80 divisors (see below), whose sum is σ = 486702545472. Its totient is φ = 80462841600.

The previous prime is 201220101991. The next prime is 201220102037. The reversal of 201220102000 is 201022102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7200054 + ... + 7227946.

Almost surely, 2201220102000 is an apocalyptic number.

201220102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243351272736).

201220102000 is an abundant number, since it is smaller than the sum of its proper divisors (285482443472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201220102000 is a wasteful number, since it uses less digits than its factorization.

201220102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31523 (or 31507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201220102000 its reverse (201022102), we get a palindrome (201421124102).

The spelling of 201220102000 in words is "two hundred one billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3607 7214 14428 18035 27893 28856 36070 55786 57712 72140 90175 111572 139465 144280 180350 223144 278930 288560 360700 446288 450875 557860 697325 721400 901750 1115720 1394650 1442800 1803500 2231440 2789300 3486625 3607000 5578600 6973250 7214000 11157200 13946500 27893000 55786000 100610051 201220102 402440204 503050255 804880408 1006100510 1609760816 2012201020 2515251275 4024402040 5030502550 8048804080 10061005100 12576256375 20122010200 25152512750 40244020400 50305025500 100610051000 201220102000